Is there a way to specify how text in copy-as Latex should appear? For example, if I could do copy-as latex and have vecX above show up as \vecX, then I can have my latex macros deal with the formatting in that context:

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I don't know of a way to do this automatically on Copy as LaTeX. I also do not know enough about LaTeX to know the right way to make changes.

I should point out that vecX no longer appears in the output of Abs[vecX - vecX'] // TraditionalForm therefore you must base your output on boldVector[x] and not vecX, unless you want to work with a held expression, which I imagine you do not.

The best I can recommend is using your own convert-to-LaTeX function something like this:

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